Final answer:
In binary search, the numbers that would be compared with 23 are 16, 24, 15, 22, 25, 21, 26, 27, 29, 22, 27, 21, and 18.
Step-by-step explanation:
In binary search, you start by comparing the target number (in this case, 23) with the middle element of the sorted list. If the middle element is equal to the target number, the search is successful. If the middle element is greater than the target number, you continue the search in the left half of the list. If the middle element is less than the target number, you continue the search in the right half of the list.
In this case, the numbers that would be compared with 23 are:
- Middle element: 16
- Right half middle element: 24
- Left half middle element: 15
- Left half middle element: 22
- Right half middle element: 25
- Left half middle element: 21
- Right half middle element: 26
- Right half middle element: 27
- Right half middle element: 29
- Left half middle element: 22
- Right half middle element: 27
- Left half middle element: 21
- Left half middle element: 18
After these comparisons, the search will either find the target number 23 or determine that it does not exist in the list.